Background: Nucleon transfer reactions in heavy-ion collisions offer valuable insights into nuclear structure and reaction dynamics. These reactions are sensitive to shell structure, pairing correlations, and collective excitations. Theoretical interpretation of transfer reactions requires taking into account coupling among elastic, inelastic, and transfer of nucleons, necessitating theoretical formalisms based on the coupled reaction channel (CRC) approach.

Purpose: This study investigates one- and two-proton transfer channels in interactions of ${}^{19}\mathrm{F}$ with ${}^{100}\mathrm{Mo}$. The role of different inelastic excited states of the interacting nuclei in shaping angular distributions and the excitation functions is explored.

Method: The angular distribution measurements were carried out at $E_{\mathrm{lab}}=55.5$, 60, 66, and 72 MeV, while the transfer excitation function measurements were performed in the energy range $E_{\mathrm{lab}}$ = 42–72 MeV at different angles viz. at ${\theta }_{\mathrm{lab}}={80}^{\circ }, {100}^{\circ }, {120}^{\circ }, {140}^{\circ }$, and ${160}^{\circ }$. The projectile-like particles were identified using HYTAR ($\mathrm{\Delta }E-E$) telescope detectors at Inter-University Accelerator Centre, New Delhi. CRC calculations incorporating inelastic excitations of interacting nuclei were performed using the potential parameters derived from elastic $+$ inelastic scattering data.

Results: CRC analysis indicates a dominant contribution of low-lying excited states of ${}^{19}\mathrm{F}$ in shaping and enhancing the transfer cross sections. The $2^{+}$ and $3^{-}$ states of ${}^{100}\mathrm{Mo}$ further enhanced cross sections, highlighting its collective nature. Angular distributions exhibited a shift of peak cross sections towards forward angles with increasing beam energy. Transfer excitation functions peak near the Coulomb barrier, particularly at backward angles.

Conclusion: The transfer angular distribution and excitation functions for both one- and two-proton transfer (stripping) channels underscore the role of inelastic states of the ${}^{19}\mathrm{F}$ and ${}^{100}\mathrm{Mo}$ nucleus in influencing transfer processes. These measurements affirm that detailed CRC calculations are essential to understand the complex dynamics of transfer mechanisms, especially in odd-even systems. The present study highlights the need for systematic measurements across different mass regions to understand the interplay between structure and reaction dynamics.

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• Low & intermediate energy heavy-ion reactions
• Models & methods for nuclear reactions
• Nuclear reactions
• Transfer reactions